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Mathematics Analysis and Approaches (AA) Student Questions | RevisionDojo

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Arabic A Lit
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Computer Science (First Exam 2027)

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German A Lit
German ab initio
German B
Global Politics
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History (First Exam 2028)
Mathematics Analysis and Approaches (AA)
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Physics
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Psychology (First Exam 2027)
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Mathematics Analysis and Approaches (AA)

SL 1.6-Simple proof

How Do You Write a Proof Going From the Left-Hand Side to the Right-Hand Side (LHS to RHS)?

Learn the IB Math AA method for an LHS-to-RHS deductive proof, with a worked identity, valid algebraic steps, domain restrictions, and Paper 1 tips.

SL 1.7-Laws of exponents and logs

How Do You Change the Base of a Logarithm?

Learn how to change the base of a logarithm, derive the formula, and apply it accurately in IB Mathematics AA SL exams with clear worked examples.

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SL 1.8-Sum of infinite geo sequence

Why Does a Geometric Series Only Converge When |r| < 1?

Learn why an infinite geometric series converges only when |r| < 1 through partial sums, limits, worked examples, and IB Mathematics AA exam technique.

SL 1.7-Laws of exponents and logs

How Do You Solve an Exponential Equation Using Logarithms?

Learn the IB Math AA method for solving exponential equations with logarithms, including domain checks, worked examples, common errors, and exam technique.

SL 1.7-Laws of exponents and logs

What Are the Laws of Logarithms (Product, Quotient, and Power Rules)?

Learn the product, quotient and power laws of logarithms, their domain conditions, worked examples, common errors and IB Math AA exam technique for SL 1.7.

AHL 1.10-Perms and combs, binomial with negative and fractional indices

How Do You Extend the Binomial Theorem to Fractional or Negative Exponents?

Learn the generalized binomial expansion for fractional and negative exponents, its convergence condition, and how to apply it in IB Math AA HL exams.

AHL 1.12-Complex numbers – Cartesian form and Argand diag

What Is the Imaginary Unit \(i\) and Why Does \(i^2=-1\)?

Understand the imaginary unit, why its square equals -1, and how IB Mathematics AA HL students use it to represent and calculate with complex numbers.

AHL 1.12-Complex numbers – Cartesian form and Argand diag

What's the Difference Between the Real Part, Imaginary Part, and Conjugate of a Complex Number?

Learn how the real part, imaginary part, and conjugate differ for a complex number, with an IB Math AA HL example and key exam advice explained.

AHL 1.13-Polar and Euler form

How Do You Multiply and Divide Complex Numbers in Polar Form?

Learn the IB Math AA HL rules for multiplying and dividing complex numbers in polar form, with worked examples, argument handling, and exam advice.

AHL 1.14-Complex roots of polynomials, conjugate roots, De Moivre’s, powers & roots of complex numbers

How Do You Find the Powers and Roots of a Complex Number?

Learn how polar form and De Moivre's theorem calculate powers and all roots of complex numbers, with an exam-ready IB Mathematics AA HL example.

AHL 1.14-Complex roots of polynomials, conjugate roots, De Moivre’s, powers & roots of complex numbers

What Is De Moivre's Theorem and How Do You Use It?

Learn De Moivre's theorem for calculating powers and roots of complex numbers, with worked IB Math AA HL examples and essential exam advice.

AHL 1.15-Proof by induction, contradiction, counterexamples

Why Is a Single Counterexample Enough to Disprove a General Claim?

Learn why one valid counterexample disproves a universal claim, how quantifiers explain the logic, and what IB Math AA HL examiners expect in proof questions.

AHL 1.16-Solution of systems of linear equations

How Do You Solve a System of Three Linear Equations in Three Unknowns?

Learn the IB Math AA HL elimination method for solving three linear equations, checking the result, and identifying unique, infinite, or no solutions.

AHL 1.15-Proof by induction, contradiction, counterexamples

How Do You Use a Counterexample to Disprove a Statement?

Learn how one counterexample disproves a universal statement in IB Mathematics AA HL, with a worked example, precise logic, and exam technique tips.

SL 2.1-Equations of straight lines, parallel and perpendicular

How Do You Find the Gradient of a Line?

Learn how to find the gradient of a line from two points, an equation, or a graph, with an IB Mathematics AA example, methods, and exam tips.

AHL 1.16-Solution of systems of linear equations

How Do You Solve Systems Using Row Reduction?

Learn how to use augmented matrices and elementary row operations to solve and classify systems of linear equations in IB Mathematics AA HL exams.

SL 2.1-Equations of straight lines, parallel and perpendicular

What's the Relationship Between the Gradients of Parallel Lines?

Learn why parallel lines have equal gradients, how to find a parallel line's equation, and the vertical-line exception for IB Math AA SL exams.

SL 2.2-Functions, notation domain, range and inverse as reflection

What Is Function Notation (f(x))?

Learn what function notation f(x) means, how to evaluate functions using substitution, and how domain and range appear in IB Mathematics AA exam questions.

SL 2.2-Functions, notation domain, range and inverse as reflection

What Does It Mean for a Function to Have an Inverse?

Learn when a function has an inverse, why it must be one-to-one, how domain and range swap, and how to verify inverses for IB Mathematics AA exams.

SL 2.3-Graphing

What's the Difference Between the Command Terms “Draw” and “Sketch” in Math?

Learn the IB Math AA difference between draw and sketch, including scale, labels, key graph features, accuracy, and exactly what examiners expect.

SL 2.4-Key features of graphs, intersections using technology

How Do You Find the Maximum, Minimum, Intercepts, and Zeros of a Graph?

Learn how to use a GDC to find maxima, minima, intercepts, and zeros of graphs in IB Mathematics AA SL, including correct exam notation.

SL 2.3-Graphing

How Do You Create a Sketch of a Function From Given Information?

Learn how to sketch a function from given information by plotting intercepts, turning points and asymptotes, with precise IB Math AA exam technique.

SL 2.3-Graphing

How Do You Graph a Function Using Technology?

Learn how to graph a function with a GDC, choose a suitable viewing window, identify key features, and present an exam-ready IB Mathematics AA SL sketch.

SL 2.4-Key features of graphs, intersections using technology

How Do You Find the Vertical and Horizontal Asymptotes of a Graph?

Learn how to find vertical and horizontal asymptotes algebraically and graphically, including rational-function degree rules for IB Math AA exams.

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